Question 1

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one,always.

Accepted Answer

A) True 
 B)False

Question 2

The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed,find the probability that more than a minute elapses between calls.

Accepted Answer

A) 0.135 
B) 0.368 
C) 0.865 
D) 0.607 
E) 0.709 
A) 0.135 
B) 0.368 
C) 0.865 
D) 0.607 
E) 0.709

Question 3

The area under the standard normal distribution between -1 and 1 is twice the area between 0 and 1.

Accepted Answer

A) True 
 B)False

Question 4

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(13 $\le$ x $\le$ 15),is __________________.

Accepted Answer

A) 0.250 
B) 0.500 
C) 0.375 
D) 0.000 
E) 1.000 
A) 0.250 
B) 0.500 
C) 0.375 
D) 0.000 
E) 1.000

Question 5

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then the height of this distribution,f(x),is __________________.

Accepted Answer

A) 1/90 
B) 1/50 
C) 1/140 
D) 1/200 
E) 1/500 
A) 1/90 
B) 1/50 
C) 1/140 
D) 1/200 
E) 1/500

Question 6

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(9 $\le$ x $\le$ 11),is __________________.

Accepted Answer

A) 0.250 
B) 0.500 
C) 0.333 
D) 0.750 
E) 1.000 
A) 0.250 
B) 0.500 
C) 0.333 
D) 0.750 
E) 1.000

Question 7

Let x be a binomial random variable with n=35 and p=.20.If we use the normal distribution to approximate probabilities for this,we would use a mean of _______.

Accepted Answer

A) 35 
B) 20 
C) 70 
D) 7 
E) 3.5 
A) 35 
B) 20 
C) 70 
D) 7 
E) 3.5

Question 8

Let x be a binomial random variable with n=50 and p=.3.If we use the normal distribution to approximate probabilities for this,a correction for continuity should be made.To find the probability of more than 15 successes,we should find _______.

Accepted Answer

A) P(x>15.5) B) P(x>15) C) P(x>14.5) D) P(x<14.5) E) P(x < 15) A) P(x>15.5) B) P(x>15) C) P(x>14.5) D) P(x<14.5) E) P(x < 15)

Question 9

A z-score is the number of standard deviations that a value of a random variable is above or below the mean.

Accepted Answer

A) True 
 B)False

Question 10

Many human characteristics such as height and weight and many measurements such as variables such as household insurance and cost per square foot of rental space are normally distributed.

Accepted Answer

A) True 
 B)False

Question 11

A normal distribution with a mean of zero and a standard deviation of 1 is called a null distribution.

Accepted Answer

A) True 
 B)False

Question 12

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

Accepted Answer

A) True 
 B)False

Question 13

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

Accepted Answer

A) True 
 B)False

Question 14

Participants in a 2 day biking event,cross the finish line at a rate of 10 bike riders per fifteen minute interval.The probability that at least 2 minutes will elapse between bike riders is _____________.

Accepted Answer

A) .0000 
B) .0498 
C) .2635 
D) .1353e).4647 
A) .0000 
B) .0498 
C) .2635 
D) .1353e).4647

Question 15

Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes.the z-score for x = 46 is ________.

Accepted Answer

A) 1.0 
B) -1.0 
C) 11 
D) -11 
E) .10 
A) 1.0 
B) -1.0 
C) 11 
D) -11 
E) .10

Question 16

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),inclusively (90 $\le$ x $\le$ 140),then the mean of this distribution is __________________.

Accepted Answer

A) 115 
B) 230 
C) 45 
D) 70 
E) unknown 
A) 115 
B) 230 
C) 45 
D) 70 
E) unknown

Question 17

Participants in a 2 day biking event,cross the finish line at a rate of 10 bike riders per fifteen minute interval.On average,how much time,in minutes,elapses between bike riders?

Accepted Answer

A) 1.50 
B) .0667 
C) .1667 
D) 1.00 
E) 2.50 
A) 1.50 
B) .0667 
C) .1667 
D) 1.00 
E) 2.50

Question 18

If x,the time (in minutes)to complete an oil change job at certain auto service station,is uniformly distributed over the interval 20 to 30,inclusively (20 $\le$ x $\le$ 30),then the mean of this distribution is __________________.

Accepted Answer

A) 50 
B) 25 
C) 10 
D) 15 
E) 5 
A) 50 
B) 25 
C) 10 
D) 15 
E) 5

Question 19

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then P(x = exactly 100)is __________________.

Accepted Answer

A) 0.750 
B) 0.000 
C) 0.333 
D) 0.500 
E) 0.900 
A) 0.750 
B) 0.000 
C) 0.333 
D) 0.500 
E) 0.900

Question 20

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last fewer than 940 hours?

Accepted Answer

A) 0.3849 
B) 0.8849 
C) 0.1151 
D) 0.6151 
E) 0.6563 
A) 0.3849 
B) 0.8849 
C) 0.1151 
D) 0.6151 
E) 0.6563

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one,always.

The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed,find the probability that more than a minute elapses between calls.

The area under the standard normal distribution between -1 and 1 is twice the area between 0 and 1.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(13 $\le$ x $\le$ 15),is __________________.

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then the height of this distribution,f(x),is __________________.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(9 $\le$ x $\le$ 11),is __________________.

Let x be a binomial random variable with n=35 and p=.20.If we use the normal distribution to approximate probabilities for this,we would use a mean of _______.

Let x be a binomial random variable with n=50 and p=.3.If we use the normal distribution to approximate probabilities for this,a correction for continuity should be made.To find the probability of more than 15 successes,we should find _______.

A z-score is the number of standard deviations that a value of a random variable is above or below the mean.

Many human characteristics such as height and weight and many measurements such as variables such as household insurance and cost per square foot of rental space are normally distributed.

A normal distribution with a mean of zero and a standard deviation of 1 is called a null distribution.

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

Participants in a 2 day biking event,cross the finish line at a rate of 10 bike riders per fifteen minute interval.The probability that at least 2 minutes will elapse between bike riders is _____________.

Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes.the z-score for x = 46 is ________.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),inclusively (90 $\le$ x $\le$ 140),then the mean of this distribution is __________________.

Participants in a 2 day biking event,cross the finish line at a rate of 10 bike riders per fifteen minute interval.On average,how much time,in minutes,elapses between bike riders?

If x,the time (in minutes)to complete an oil change job at certain auto service station,is uniformly distributed over the interval 20 to 30,inclusively (20 $\le$ x $\le$ 30),then the mean of this distribution is __________________.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then P(x = exactly 100)is __________________.

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last fewer than 940 hours?

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 6: Continuous Distributions

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one,always.

The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed,find the probability that more than a minute elapses between calls.

The area under the standard normal distribution between -1 and 1 is twice the area between 0 and 1.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 ≤\le≤ x ≤\le≤ 12),then the probability,P(13 ≤\le≤ x ≤\le≤ 15),is __________________.

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 ≤\le≤ x ≤\le≤ 140),then the height of this distribution,f(x),is __________________.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 ≤\le≤ x ≤\le≤ 12),then the probability,P(9 ≤\le≤ x ≤\le≤ 11),is __________________.

Let x be a binomial random variable with n=35 and p=.20.If we use the normal distribution to approximate probabilities for this,we would use a mean of _______.

Let x be a binomial random variable with n=50 and p=.3.If we use the normal distribution to approximate probabilities for this,a correction for continuity should be made.To find the probability of more than 15 successes,we should find _______.

A z-score is the number of standard deviations that a value of a random variable is above or below the mean.

Many human characteristics such as height and weight and many measurements such as variables such as household insurance and cost per square foot of rental space are normally distributed.

A normal distribution with a mean of zero and a standard deviation of 1 is called a null distribution.

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

Participants in a 2 day biking event,cross the finish line at a rate of 10 bike riders per fifteen minute interval.The probability that at least 2 minutes will elapse between bike riders is _____________.

Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes.the z-score for x = 46 is ________.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 ≤\le≤ x ≤\le≤ 140),inclusively (90 ≤\le≤ x ≤\le≤ 140),then the mean of this distribution is __________________.

Participants in a 2 day biking event,cross the finish line at a rate of 10 bike riders per fifteen minute interval.On average,how much time,in minutes,elapses between bike riders?

If x,the time (in minutes)to complete an oil change job at certain auto service station,is uniformly distributed over the interval 20 to 30,inclusively (20 ≤\le≤ x ≤\le≤ 30),then the mean of this distribution is __________________.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 ≤\le≤ x ≤\le≤ 140),then P(x = exactly 100)is __________________.

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last fewer than 940 hours?

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(13 $\le$ x $\le$ 15),is __________________.

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then the height of this distribution,f(x),is __________________.

If x is uniformly distributed over the interval 8 to 12,inclusively (8 $\le$ x $\le$ 12),then the probability,P(9 $\le$ x $\le$ 11),is __________________.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),inclusively (90 $\le$ x $\le$ 140),then the mean of this distribution is __________________.

If x,the time (in minutes)to complete an oil change job at certain auto service station,is uniformly distributed over the interval 20 to 30,inclusively (20 $\le$ x $\le$ 30),then the mean of this distribution is __________________.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140,inclusively (90 $\le$ x $\le$ 140),then P(x = exactly 100)is __________________.